Physics
Physics
Problem
Show that the formula is dimensionally consistent, i.e. verify that the dimensional formula obtained from the right-hand side equals that of power.Intuitive explanation
Dimensional analysis is about checking that an equation makes physical sense by tracking what units (or dimensions) each quantity carries. Here, you'll express voltage and current in terms of fundamental dimensions—mass, length, time, and charge—then multiply them together to see if you get the same dimensions as power (energy per unit time). It's a quick way to catch algebra mistakes and understand why formulas work.
Intuitive explanation
Dimensional analysis is about checking that an equation makes physical sense by tracking what units (or dimensions) each quantity carries. Here, you'll express voltage and current in terms of fundamental dimensions—mass, length, time, and charge—then multiply them together to see if you get the same dimensions as power (energy per unit time). It's a quick way to catch algebra mistakes and understand why formulas work.